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An Accelerated Poincaré-Map Method for Finding the PSS of Autonomous Oscillators

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Progress in Industrial Mathematics at ECMI 2000

Part of the book series: Mathematics in Industry ((TECMI,volume 1))

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Abstract

A novel time-domain method for finding the periodic steady-state of a free-running electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the well-known Colpitt’s Oscillator, for which it turns out to have super-linear convergence.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computing Science, Eindhoven University of Technology, The Netherlands

    S. H. M. J. Houben & J. M. Maubach

Authors
  1. S. H. M. J. Houben
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  2. J. M. Maubach
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy

    Angelo Marcello Anile

  2. MIRIAM and Department of Mathematics, University of Milano, Via C. Saldini 50, 20133, Milano, Italy

    Vincenzo Capasso

  3. Department of Mathematics and its Applications, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy

    Antonio Greco

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© 2002 Springer-Verlag Berlin Heidelberg

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Houben, S.H.M.J., Maubach, J.M. (2002). An Accelerated Poincaré-Map Method for Finding the PSS of Autonomous Oscillators. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_36

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  • DOI: https://doi.org/10.1007/978-3-662-04784-2_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07647-3

  • Online ISBN: 978-3-662-04784-2

  • eBook Packages: Springer Book Archive

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